document.write( "Question 266980: Find an equation of the line satisfying the given conditions. \r
\n" ); document.write( "\n" ); document.write( "Through (7,2); Perpendicular to 4x+9y=46
\n" ); document.write( "

Algebra.Com's Answer #196135 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find an equation of the line satisfying the given conditions.
\n" ); document.write( "Through (7,2); Perpendicular to 4x + 9y = 46
\n" ); document.write( ":
\n" ); document.write( "Put the equation in the slope intercept form to find the slope (y = mx + b)
\n" ); document.write( "4x + 9y = 46
\n" ); document.write( "9y = -4x + 46
\n" ); document.write( "Divide by 9
\n" ); document.write( "y = \"-4%2F9\"x + \"46%2F9\"
\n" ); document.write( "Slope (m1) = \"-4%2F9\"
\n" ); document.write( ":
\n" ); document.write( "Slope relationship of perpendicular lines: m1*m2 = -1
\n" ); document.write( "find m2
\n" ); document.write( "\"-4%2F9\"*m2 = -1
\n" ); document.write( "m2 = -1 * \"-9%2F4\"
\n" ); document.write( "m2 = \"9%2F4\" is the slope of the perpendicular line
\n" ); document.write( ":
\n" ); document.write( "Use the point/slope equation y - y1 = m(x - x1); x1=7, y1=2
\n" ); document.write( "y - 2 = \"9%2F4\"(x - 7)
\n" ); document.write( ":
\n" ); document.write( "y - 2 = \"9%2F4\"x - \"9%2F4\"(7)
\n" ); document.write( ":
\n" ); document.write( "y - 2 = \"9%2F4\"x - \"63%2F4\"
\n" ); document.write( ":
\n" ); document.write( "y = \"9%2F4\"x - \"63%2F4\" + 2
\n" ); document.write( ":
\n" ); document.write( "y = \"9%2F4\"x - \"63%2F4\" + \"8%2F4\"
\n" ); document.write( ":
\n" ); document.write( "y = \"9%2F4\"x - \"55%2F4\", the equation of the perpendicular line
\n" ); document.write( "
\n" );